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Power transmitted by shaft given speed of shaft and torque Formula

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Power is the amount of energy liberated per second in a device. Check FAQs

P = 2 \cdot π \cdot N \cdot \frac{τ}{60}

P - Power?N - Speed of Shaft in RPM?τ - Torsional moment on shaft?π - Archimedes' constant?

Power transmitted by shaft given speed of shaft and torque Example

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Here is how the Power transmitted by shaft given speed of shaft and torque equation looks like with Values.

Here is how the Power transmitted by shaft given speed of shaft and torque equation looks like with Units.

Here is how the Power transmitted by shaft given speed of shaft and torque equation looks like.

2670.3538 = 2 \cdot 3.1416 \cdot 500 \cdot \frac{51000}{60}

2670.3538W = 2 \cdot 3.1416 \cdot 500 \cdot \frac{51000N*mm}{60}

2670.3538 = 2 \cdot 3.1416 \cdot 500 \cdot \frac{51000}{60}

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Power transmitted by shaft given speed of shaft and torque Solution

Follow our step by step solution on how to calculate Power transmitted by shaft given speed of shaft and torque?

FIRST Step Consider the formula

P = 2 \cdot π \cdot N \cdot \frac{τ}{60}

Next Step Substitute values of Variables

∴

P = 2 \cdot π \cdot 500 \cdot \frac{51000N*mm}{60}

Next Step Substitute values of Constants

∴

P = 2 \cdot 3.1416 \cdot 500 \cdot \frac{51000N*mm}{60}

Next Step Convert Units

∴

P = 2 \cdot 3.1416 \cdot 500 \cdot \frac{51N*m}{60}

Next Step Prepare to Evaluate

∴

P = 2 \cdot 3.1416 \cdot 500 \cdot \frac{51}{60}

Next Step Evaluate

∴

P = 2670.35375555132W

LAST Step Rounding Answer

∴

P = 2670.3538W

Power transmitted by shaft given speed of shaft and torque Formula Elements

Variables

Constants

Power

Power is the amount of energy liberated per second in a device.

Symbol: P

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power

Speed of Shaft in RPM

Speed of shaft in rpm is the number of turns of the shaft divided by time, specified as revolutions per minute (rpm), cycles per second (cps), radians per second (rad/s), etc.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed of Shaft in RPM

Torsional moment on shaft

Torsional moment on shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force.

Symbol: τ

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional moment on shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Design of Shaft for Torsional Moment category

Go Torsional shear stress in shaft due to torsional moment

𝜏 = τ \cdot \frac{r}{J}

Go Angle of twist of shaft in radians given torque, length of shaft, polar moment of inertia

θ = \frac{τ \cdot l}{J \cdot C}

Go Polar moment of inertia of hollow circular cross-section

J = π \cdot \frac{({d ho}^{4}) - ({d hi}^{4})}{32}

Go Polar moment of inertia of circular cross section

J = π \cdot \frac{{d c}^{4}}{32}

How to Evaluate Power transmitted by shaft given speed of shaft and torque?

Power transmitted by shaft given speed of shaft and torque evaluator uses Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60) to evaluate the Power, Power transmitted by shaft given speed of shaft and torque formula is the movement of energy from its place of generation to a location where it is applied to perform useful work. Here the shaft is transmitting that power. Power is denoted by P symbol.

How to evaluate Power transmitted by shaft given speed of shaft and torque using this online evaluator? To use this online evaluator for Power transmitted by shaft given speed of shaft and torque, enter Speed of Shaft in RPM (N) & Torsional moment on shaft (τ) and hit the calculate button.

FAQs on Power transmitted by shaft given speed of shaft and torque

What is the formula to find Power transmitted by shaft given speed of shaft and torque?

The formula of Power transmitted by shaft given speed of shaft and torque is expressed as Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60). Here is an example- 2670.354 = 2*pi*500*51/(60).

How to calculate Power transmitted by shaft given speed of shaft and torque?

With Speed of Shaft in RPM (N) & Torsional moment on shaft (τ) we can find Power transmitted by shaft given speed of shaft and torque using the formula - Power = 2*pi*Speed of Shaft in RPM*Torsional moment on shaft/(60). This formula also uses Archimedes' constant .

Can the Power transmitted by shaft given speed of shaft and torque be negative?

No, the Power transmitted by shaft given speed of shaft and torque, measured in Power cannot be negative.

Which unit is used to measure Power transmitted by shaft given speed of shaft and torque?

Power transmitted by shaft given speed of shaft and torque is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Power transmitted by shaft given speed of shaft and torque can be measured.

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Power transmitted by shaft given speed of shaft and torque Formula

Power transmitted by shaft given speed of shaft and torque Example

Power transmitted by shaft given speed of shaft and torque Solution

Power transmitted by shaft given speed of shaft and torque Formula Elements

Other formulas in Design of Shaft for Torsional Moment category

How to Evaluate Power transmitted by shaft given speed of shaft and torque?

FAQs on Power transmitted by shaft given speed of shaft and torque

Variable Name